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12640205655 = 3357111498161
BaseRepresentation
bin10111100010110101…
…00011101101010111
31012121220202222102000
423301122203231113
5201341343040110
65450135250343
7625143655350
oct136132435527
935556688360
1012640205655
1153a7080660
1225492199b3
13126599973c
1487ca6cd27
154dea811c0
hex2f16a3b57

12640205655 has 128 divisors (see below), whose sum is σ = 28207872000. Its totient is φ = 5217177600.

The previous prime is 12640205647. The next prime is 12640205663. The reversal of 12640205655 is 55650204621.

12640205655 is a `hidden beast` number, since 1 + 2 + 640 + 2 + 0 + 5 + 6 + 5 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (12640205647) and next prime (12640205663).

It is not a de Polignac number, because 12640205655 - 23 = 12640205647 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1544775 + ... + 1552935.

It is an arithmetic number, because the mean of its divisors is an integer number (220374000).

Almost surely, 212640205655 is an apocalyptic number.

12640205655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12640205655 is an abundant number, since it is smaller than the sum of its proper divisors (15567666345).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12640205655 is a wasteful number, since it uses less digits than its factorization.

12640205655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8342 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 12640205655 in words is "twelve billion, six hundred forty million, two hundred five thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 149 165 189 231 297 315 385 447 495 693 745 945 1043 1155 1341 1485 1639 2079 2235 3129 3465 4023 4917 5215 6705 8161 8195 9387 10395 11473 14751 15645 20115 24483 24585 28161 34419 40805 44253 46935 57127 57365 73449 73755 89771 103257 122415 140805 171381 172095 220347 221265 269313 285635 309771 367245 448855 514143 516285 628397 807939 856905 1101735 1215989 1346565 1542429 1548855 1885191 2423817 2570715 3141985 3647967 4039695 5655573 6079945 7712145 8511923 9425955 10943901 12119085 13375879 16966719 18239835 25535769 28277865 32831703 40127637 42559615 54719505 66879395 76607307 84833595 93631153 120382911 127678845 164158515 200638185 229821921 280893459 361148733 383036535 468155765 601914555 842680377 1149109605 1404467295 1805743665 2528041131 4213401885 12640205655